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Finding the Fourth Proportional to 12,686.63, 18,993.49 and 7,992.47

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Solution

The fourth proportional to 12,686.63, 18,993.49 and 7,992.47 is: 11,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.63 : 18,993.49 = 7,992.47 : x
  2. Step 2: Convert to fraction form
    12,686.63/18,993.49 = 7,992.47/x
  3. Step 3: Cross multiply
    12,686.63x = 18,993.49 × 7,992.47
  4. Step 4: Simplify right side
    12,686.63x = 151,804,926.52
  5. Step 5: Solve for x
    x = 151,804,926.52/12,686.63
  6. Step 6: Final answer
    x = 11,965.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.